Home > categories > Textiles & Leather Products > Carpet/Rug > A green rug's length is 7 feet greater than a yellow rug's length. The yellow rug has a 5 foot width and the green has a 3 foot width.?
Question:

A green rug's length is 7 feet greater than a yellow rug's length. The yellow rug has a 5 foot width and the green has a 3 foot width.?

The yellow rug's area is 59 Sq feet greater than the green's. Find the length of each rug. Please help i missed this day of school and my teacher quot;Forgotquot; that we did that that day. It is the only problem on my Algebra final I do not understand. Solve it algebraically and please show the steps. P.S. it is a 2 day test, I didn't check the test before we took it haha. I would teach myself, but I don't have my book because it's at my dad's house and my teacher isn't available tomorrow to teach me..

Answer:

Lets say: The length of green rug = GL The length of yellow rug = YL The width of green rug = GW The width of yellow rug = YW The areas: Green rug = GL*GW Yello rug = YL*YW What we have: GL = YL+7 YL = GL -7 GW = 3 YW = 5 YL*YW = GL*GW + 59 YL*YW = YL*5 = (GL-7)*5 GL*3 + 59 = (GL-7)*5 3GL +59 = 5GL - 35 5GL -3GL = 59 +35 2GL = 94 GL = 47 YL = 47 - 7 = 40

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